Normalized solutions to a Schrodinger-Bopp-Podolsky system under Neumann boundary conditions

被引：14

作者：

Afonso, Danilo G. G. ^{[1
]}

Siciliano, Gaetano ^{[2
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Matemat Guido Castelnuovo, Piazzale Aldo Moro 5, I-00185 Rome, Italy

[2] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP, Brazil

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2023年 / 25卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Schrodinger-Bopp-Podolsky system; Krasnoselskii genus; Lagrange multipliers; weak solutions; ELECTRODYNAMICS; EQUATION;

D O I：

10.1142/S0219199721501005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a Schrodinger-Bopp-Podolsky (SBP) system of partial differential equations in a bounded and smooth domain of Double-struck capital R-3 with a nonconstant coupling factor. Under a compatibility condition on the boundary data we deduce existence of solutions by means of the Ljusternik-Schnirelmann theory.

引用

页数：20

共 14 条

[1]

Afonso D. G., 2020, THESIS

[2] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].